Heron's Formula for Triangle Area
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Questions and Answers

What is the formula for finding the area of a triangle using Heron's formula?

  • A = s (s - a) (s - b) (s - c) (correct)
  • A = (s + a) (s + b) (s + c)
  • A = s^2 - a^2 - b^2 - c^2
  • A = 1/2 * a * b * sin(C)
  • What is the semiperimeter of a triangle in Heron's formula?

  • s = a + b + c
  • s = 1/2 * (a + b + c) (correct)
  • s = a * b * c
  • s = sqrt(a * b * c)
  • What is the historical origin of Heron's formula?

  • Second-century astronomer Ptolemy
  • Fifth-century philosopher Plato
  • Third-century mathematician Euclid
  • First-century engineer Heron of Alexandria (correct)
  • In the given example, what are the side lengths of the triangle?

    <p>4, 13, 15</p> Signup and view all the answers

    In the example, what is the area of the triangle according to Heron's formula?

    <p>24</p> Signup and view all the answers

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